Question: y=y,y(0)=1 using implicit Euler and Crank Nicholson (Trapezoidal Rule) schemes. a) Try 10 iterations, with time step t=2. What goes wrong with this t ?

y=y,y(0)=1 using implicit Euler and Crank Nicholson (Trapezoidal Rule) schemes. a)

y=y,y(0)=1 using implicit Euler and Crank Nicholson (Trapezoidal Rule) schemes. a) Try 10 iterations, with time step t=2. What goes wrong with this t ? Include a figure and discuss in a few sentences. (Hint: compare growth factor for IE and CN.) b) What do the results for t=2.1 illustrate? Include a figure and discuss in a few sentences.(Hint: compare growth factor for IE and CN.)

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